-0.850 m 10.300 m 5.50 kg 3.75 kg A 5.00 kg -1.00 m- Figure P8.9

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.7) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? X = y = m Need Help? Read It Watch It

A 7 meter long stick is suspended from two strings.  The stick has a mass of 17kg that is uniformily distributed.  A 9kg dog is sitting 0.7m from the left end of the stick.  Where is the center of mass? How do you know?

A uniform, 20-kg, 8.0-m-long, wooden plank that is parallel to level ground is supported by two pivots: one pivot is at the extreme left end of the plank, and the other pivot is 3.0 m inward from the extreme right end of the plank. A 80-kg construction worker, who is initally standing on the extreme left end of the plank, begins to walk to the right. How far from the right end of the plank will the worker be located when the plank begins to tip? 4.0 m 4.0 m 5.0 m a. 4.50 m O b.5.00 m O c. 4.25 m d. 5.25 m O e. 4.75 m

A wood plank has a length of 4.2 m and a mass of 14.3 kg. The plank is balanced between two saw horses. One saw horse is positioned directly under one end of the plank, and the other is located a distance d1 = 3.2 m away. A child with a mass of 29 kg walks along the plank, as if it were a balance beam. What is the furthest distance d2 (in meters) from the end of the plank that the child can walk before the plank tips and falls? NOTE: When the plank starts to tip, one of the forces becomes zero.

Among the elderly population, a sideway fall is a most frequent cause of hip fracture. An old man of mass 65 kg and height 1.7m was sent to Prince of Wales Hospital due to sideway fall. He slipped and fell laterally down with a straight body. Before falling, his centre of mass was 0.9 m above ground. His centre of mass was on the ground at the end of the fall. The radius of gyration about the anterior-posterior axis at his centre of mass was 0.55 m. (a) Calculate the initial potential energy before his fall. (b) Assuming his potential energy would be converted to linear kinetic energy of his centre of mass and rotational kinetic energy about his centre of mass, calculate the impact velocity v of his centre of mas right before he hit the ground. C. M. 1.7m 0.9m

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.9 kg at (0.0, 3.3) m, and 4.0 kg at (3.5, 0.0) m. Where should a fourth object of 9.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x =           m y =           m

A 550.0 g bird is flying horizontally at 2.50 m/s, not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0 cm below the top. The bar is uniform, 0.700 m long, has a mass of 1.50 kg kg, and is hinged at its base. The collision stuns the bird so that it just drops to the ground afterward (but soon recovers to fly happily away). What is the angular velocity of the bar just after it is hit by the bird? Express your answer in radians per second. W1 = rad/s

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.6) m, and 4.0 kg at (3.4, 0.0) m. Where should a fourth object of 7.2 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? X = y = m Need Help? Read It Watch It

Consider the following distribution of objects: a 4.00-kg object with its center of gravity at (0, 0) m, a 5.20-kg object at (0, 3.00) m, and a 1.40-kg object at (2.00, 0) m. Where should a fourth object of mass 7.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?